72955113 has 32 divisors (see below), whose sum is σ = 124250112. Its totient is φ = 36969600.

The previous prime is 72955087. The next prime is 72955147. The reversal of 72955113 is 31155927.

It is not a de Polignac number, because 72955113 - 2¹⁷ = 72824041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72955153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620 + ... + 13322.

It is an arithmetic number, because the mean of its divisors is an integer number (3882816).

Almost surely, 2^72955113 is an apocalyptic number.

It is an amenable number.

72955113 is a deficient number, since it is larger than the sum of its proper divisors (51294999).

72955113 is a wasteful number, since it uses less digits than its factorization.

72955113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765.

The product of its digits is 9450, while the sum is 33.

The square root of 72955113 is about 8541.3765284057. The cubic root of 72955113 is about 417.8482408882.

The spelling of 72955113 in words is "seventy-two million, nine hundred fifty-five thousand, one hundred thirteen".